165787648 has 72 divisors (see below), whose sum is σ = 359704800. Its totient is φ = 76357632.

The previous prime is 165787637. The next prime is 165787651. The reversal of 165787648 is 846787561.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 165787595 and 165787604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345873 + ... + 346351.

It is an arithmetic number, because the mean of its divisors is an integer number (4995900).

Almost surely, 2^165787648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165787648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179852400).

165787648 is an abundant number, since it is smaller than the sum of its proper divisors (193917152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165787648 is an equidigital number, since it uses as much as digits as its factorization.

165787648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 494 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 165787648 is about 12875.8552337311. The cubic root of 165787648 is about 549.3520170434.

The spelling of 165787648 in words is "one hundred sixty-five million, seven hundred eighty-seven thousand, six hundred forty-eight".